# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X4))),s(t_fun(X1,t_h4s_nums_num),X3))))=>p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X2),s(t_fun(X1,t_h4s_nums_num),X3))))),file('i/f/bag/SUB__BAG__BAG__IN', ch4s_bags_SUBu_u_BAGu_u_BAGu_u_IN)).
fof(34, axiom,![X1]:![X3]:![X4]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X4),s(t_fun(X1,t_h4s_nums_num),X3))))<=>![X2]:![X24]:(p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X2),s(t_h4s_nums_num,X24),s(t_fun(X1,t_h4s_nums_num),X4))))=>p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X2),s(t_h4s_nums_num,X24),s(t_fun(X1,t_h4s_nums_num),X3)))))),file('i/f/bag/SUB__BAG__BAG__IN', ah4s_bags_SUBu_u_BAG0)).
fof(36, axiom,![X1]:![X25]:![X26]:![X27]:(p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X26),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_insert(s(X1,X25),s(t_fun(X1,t_h4s_nums_num),X27))))))<=>(s(X1,X26)=s(X1,X25)|p(s(t_bool,h4s_bags_bagu_u_in(s(X1,X26),s(t_fun(X1,t_h4s_nums_num),X27)))))),file('i/f/bag/SUB__BAG__BAG__IN', ah4s_bags_BAGu_u_INu_u_BAGu_u_INSERT)).
fof(38, axiom,![X1]:![X23]:![X27]:s(t_bool,h4s_bags_bagu_u_in(s(X1,X23),s(t_fun(X1,t_h4s_nums_num),X27)))=s(t_bool,h4s_bags_bagu_u_inn(s(X1,X23),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_fun(X1,t_h4s_nums_num),X27))),file('i/f/bag/SUB__BAG__BAG__IN', ah4s_bags_BAGu_u_IN0)).
fof(63, axiom,~(p(s(t_bool,f))),file('i/f/bag/SUB__BAG__BAG__IN', aHLu_FALSITY)).
fof(64, axiom,![X5]:((p(s(t_bool,X5))=>p(s(t_bool,f)))<=>s(t_bool,X5)=s(t_bool,f)),file('i/f/bag/SUB__BAG__BAG__IN', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(77, axiom,p(s(t_bool,t)),file('i/f/bag/SUB__BAG__BAG__IN', aHLu_TRUTH)).
fof(78, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/bag/SUB__BAG__BAG__IN', aHLu_BOOLu_CASES)).
fof(80, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/bag/SUB__BAG__BAG__IN', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
